Raquel Perales

activity

20132026

most citedConvergence of Manifolds and Metric Spaces with Boundary

10 citations · 48 across the 16 of their papers we have counts for

collaborators

Showing math.MGShow all

5 papers · 1 filter

math.MG2020★ 1 cited

Volume Above Distance Below

Brian Allen, Raquel Perales, Christina Sormani

Given a pair of metric tensors $g_{1} \geq g_{0}$ on a Riemannian manifold, $M$ , it is well known that $Vol_{1} (M) \geq Vol_{0} (M)$ . Furthermore one has rigidit…

math.MG2015★ 10 cited

Convergence of Manifolds and Metric Spaces with Boundary

Raquel Perales

We study sequences of oriented Riemannian manifolds with boundary and, more generally, integral current spaces and metric spaces with boundary. {\color{blue}For a metric space, we…

math.MG2014★ 4 cited

On the Sormani-Wenger Intrinsic Flat Convergence of Alexandrov Spaces

Nan Li, Raquel Perales

We study sequences of integral current spaces $(X_{j}, d_{j}, T_{j})$ such that the integral current structure $T_{j}$ has weight $1$ and no boundary and, all $(X_{j}, d_{j})$ are closed Alexandr…

math.MG2014

Volumes and Limits of Manifolds with Ricci Curvature and Mean Curvature Bounds

Raquel Perales

We prove a laplacian comparison theorem in the barrier sense for the function distance to the boundary of Riemannian manifolds with nonnegative Ricci curvature, area and mean curva…

math.MG2013★ 8 cited

Sequences of Open Riemannian Manifolds with Boundary

Raquel Perales, Christina Sormani

We consider sequences of open Riemannian manifolds with boundary that have no regularity conditions on the boundary. To define a reasonable notion of a limit of such a sequence, we…